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Finding the Fourth Proportional to 319,571.38, 441,231.45 and 198,766.96

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Solution

The fourth proportional to 319,571.38, 441,231.45 and 198,766.96 is: 274,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,571.38 : 441,231.45 = 198,766.96 : x
  2. Step 2: Convert to fraction form
    319,571.38/441,231.45 = 198,766.96/x
  3. Step 3: Cross multiply
    319,571.38x = 441,231.45 × 198,766.96
  4. Step 4: Simplify right side
    319,571.38x = 87,702,235,724.43
  5. Step 5: Solve for x
    x = 87,702,235,724.43/319,571.38
  6. Step 6: Final answer
    x = 274,437.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.